Nominal proof certificates grouped in dependency order.
Certificates from NAR4C057C001Part005.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_fresh_334 :
nb057AlphaDummy040 ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb057AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb057AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_fresh_335
(f : SemanticCore.Var)
:
nb057AlphaDummy041 f ∉
(Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_fresh_351 :
nb057AlphaDummy050 ∉
{nb057AlphaDummy044} ∪ {nb057AlphaDummy045} ∪ (Compiler.CompactSourceSyntax.synWex nb057AlphaDummy046
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy044)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001))
(SemanticCore.Class.cv nb057AlphaDummy046))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Class.cv nb057AlphaDummy001) (SemanticCore.Class.cv nb057AlphaDummy045)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_fresh_352
(f : SemanticCore.Var)
:
nb057AlphaDummy051 f ∉
{nb057AlphaDummy047 f} ∪ {nb057AlphaDummy048 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb057AlphaDummy049 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb057AlphaDummy049 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy049 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb057AlphaDummy048 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0005 :
nb057AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy000)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0007
(f a : SemanticCore.Var)
:
f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv f)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv a)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0008 :
nb057AlphaDummy001 ∈ (SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0009
(f a : SemanticCore.Var)
:
f ∈ (SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv f)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv f)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0012 :
nb057AlphaDummy012 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy012) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy012)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy012).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0013
(f a : SemanticCore.Var)
:
nb057AlphaDummy014 f a ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy014 f a)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy014 f a))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy014 f a)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0017
(f a : SemanticCore.Var)
:
nb057AlphaDummy022 f a ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb057AlphaDummy022 f a))
(SemanticCore.Class.cv (nb057AlphaDummy023 f a))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb057AlphaDummy022 f a))
(SemanticCore.Class.cv (nb057AlphaDummy023 f a))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0021
(f a : SemanticCore.Var)
:
nb057AlphaDummy023 f a ∈ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb057AlphaDummy022 f a))
(SemanticCore.Class.cv (nb057AlphaDummy023 f a))).fv ∪ (Compiler.CompactSourceSyntax.synCnin (SemanticCore.Class.cv (nb057AlphaDummy022 f a))
(SemanticCore.Class.cv (nb057AlphaDummy023 f a))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0033 :
nb057AlphaDummy000 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy001)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy000)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0035
(f a : SemanticCore.Var)
:
a ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv f)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv a)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0036 :
nb057AlphaDummy000 ∈ (SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy000)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy004
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy005 (SemanticCore.Class.cv nb057AlphaDummy000)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy004)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy005))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0037
(f a : SemanticCore.Var)
:
a ∈ (SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv a)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy006 f a)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy007 f a) (SemanticCore.Class.cv a)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy006 f a))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy007 f a)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0042 :
nb057AlphaDummy044 ∈ {nb057AlphaDummy044} ∪ {nb057AlphaDummy045} ∪ (Compiler.CompactSourceSyntax.synWex nb057AlphaDummy046
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy044)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001))
(SemanticCore.Class.cv nb057AlphaDummy046))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Class.cv nb057AlphaDummy001) (SemanticCore.Class.cv nb057AlphaDummy045)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0043
(f : SemanticCore.Var)
:
nb057AlphaDummy047 f ∈ {nb057AlphaDummy047 f} ∪ {nb057AlphaDummy048 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb057AlphaDummy049 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb057AlphaDummy049 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy049 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb057AlphaDummy048 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0044 :
nb057AlphaDummy045 ∈ {nb057AlphaDummy044} ∪ {nb057AlphaDummy045} ∪ (Compiler.CompactSourceSyntax.synWex nb057AlphaDummy046
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy044)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001))
(SemanticCore.Class.cv nb057AlphaDummy046))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Class.cv nb057AlphaDummy001) (SemanticCore.Class.cv nb057AlphaDummy045)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0045
(f : SemanticCore.Var)
:
nb057AlphaDummy048 f ∈ {nb057AlphaDummy047 f} ∪ {nb057AlphaDummy048 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb057AlphaDummy049 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb057AlphaDummy049 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy049 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb057AlphaDummy048 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0047 :
nb057AlphaDummy044 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0049
(f : SemanticCore.Var)
:
nb057AlphaDummy047 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0050 :
nb057AlphaDummy044 ∈ (SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0051
(f : SemanticCore.Var)
:
nb057AlphaDummy047 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0054 :
nb057AlphaDummy060 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy060) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy060)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy060).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0055
(f : SemanticCore.Var)
:
nb057AlphaDummy062 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy062 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy062 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy062 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0075 :
nb057AlphaDummy045 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0077
(f : SemanticCore.Var)
:
nb057AlphaDummy048 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0078 :
nb057AlphaDummy045 ∈ (SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy052
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy053 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy052)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy053))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0079
(f : SemanticCore.Var)
:
nb057AlphaDummy048 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy054 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy055 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy054 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy055 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0085 :
nb057AlphaDummy044 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0087
(f : SemanticCore.Var)
:
nb057AlphaDummy047 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0088 :
nb057AlphaDummy044 ∈ (SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0089
(f : SemanticCore.Var)
:
nb057AlphaDummy047 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0092 :
nb057AlphaDummy096 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy096) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy096)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy096).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0093
(f : SemanticCore.Var)
:
nb057AlphaDummy098 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy098 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy098 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy098 f)).fv
Certificates from NAR4C057C001Part006.
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0113 :
nb057AlphaDummy046 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy044)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0115
(f : SemanticCore.Var)
:
nb057AlphaDummy049 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0116 :
nb057AlphaDummy046 ∈ (SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy088
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy089 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy088)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy089))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0117
(f : SemanticCore.Var)
:
nb057AlphaDummy049 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy090 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy091 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy090 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy091 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0127 :
nb057AlphaDummy124 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0129
(f : SemanticCore.Var)
:
nb057AlphaDummy126 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0130 :
nb057AlphaDummy124 ∈ (SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0131
(f : SemanticCore.Var)
:
nb057AlphaDummy126 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0134 :
nb057AlphaDummy138 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy138) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy138)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy138).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0135
(f : SemanticCore.Var)
:
nb057AlphaDummy140 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy140 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy140 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy140 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0155 :
nb057AlphaDummy125 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0157
(f : SemanticCore.Var)
:
nb057AlphaDummy127 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0158 :
nb057AlphaDummy125 ∈ (SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy130
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy131 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy130)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy131))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0159
(f : SemanticCore.Var)
:
nb057AlphaDummy127 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy132 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy133 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy132 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy133 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0165 :
nb057AlphaDummy125 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0167
(f : SemanticCore.Var)
:
nb057AlphaDummy127 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0168 :
nb057AlphaDummy125 ∈ (SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0169
(f : SemanticCore.Var)
:
nb057AlphaDummy127 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0172 :
nb057AlphaDummy174 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy174) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy174)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy174).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0173
(f : SemanticCore.Var)
:
nb057AlphaDummy176 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy176 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy176 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy176 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0193 :
nb057AlphaDummy124 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy125)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0195
(f : SemanticCore.Var)
:
nb057AlphaDummy126 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy127 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0196 :
nb057AlphaDummy124 ∈ (SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy166
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy167 (SemanticCore.Class.cv nb057AlphaDummy124)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy166)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy167))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0197
(f : SemanticCore.Var)
:
nb057AlphaDummy126 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy168 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy169 f) (SemanticCore.Class.cv (nb057AlphaDummy126 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy168 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy169 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0202 :
nb057AlphaDummy001 ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb057AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv nb057AlphaDummy001)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0203
(f : SemanticCore.Var)
:
f ∈ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv ∪ (Compiler.CompactSourceSyntax.synCnin
(Compiler.CompactSourceSyntax.synCcom (SemanticCore.Class.cv f)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f)))
Compiler.CompactSourceSyntax.synCid).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0207 :
nb057AlphaDummy001 ∈ {nb057AlphaDummy044} ∪ {nb057AlphaDummy045} ∪ (Compiler.CompactSourceSyntax.synWex nb057AlphaDummy046
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy044)
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv nb057AlphaDummy001))
(SemanticCore.Class.cv nb057AlphaDummy046))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Class.cv nb057AlphaDummy001) (SemanticCore.Class.cv nb057AlphaDummy045)))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0209
(f : SemanticCore.Var)
:
f ∈ {nb057AlphaDummy047 f} ∪ {nb057AlphaDummy048 f} ∪ (Compiler.CompactSourceSyntax.synWex (nb057AlphaDummy049 f)
(Compiler.CompactSourceSyntax.synWa
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy047 f))
(Compiler.CompactSourceSyntax.synCcnv (SemanticCore.Class.cv f))
(SemanticCore.Class.cv (nb057AlphaDummy049 f)))
(Compiler.CompactSourceSyntax.synWbr (SemanticCore.Class.cv (nb057AlphaDummy049 f)) (SemanticCore.Class.cv f)
(SemanticCore.Class.cv (nb057AlphaDummy048 f))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0215 :
nb057AlphaDummy046 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0217
(f : SemanticCore.Var)
:
nb057AlphaDummy049 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0218 :
nb057AlphaDummy046 ∈ (SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203))))).fv ∪ (SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0219
(f : SemanticCore.Var)
:
nb057AlphaDummy049 f ∈ (SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f)))))).fv ∪ (SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0222 :
nb057AlphaDummy210 ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv nb057AlphaDummy210) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv nb057AlphaDummy210)
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv nb057AlphaDummy210).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0223
(f : SemanticCore.Var)
:
nb057AlphaDummy212 f ∈ (SemanticCore.Wff.classMem (SemanticCore.Class.cv (nb057AlphaDummy212 f)) Compiler.CompactSourceSyntax.synCnnc).fv ∪ (Compiler.CompactSourceSyntax.synCplc (SemanticCore.Class.cv (nb057AlphaDummy212 f))
Compiler.CompactSourceSyntax.synC1c).fv ∪ (SemanticCore.Class.cv (nb057AlphaDummy212 f)).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0243 :
nb057AlphaDummy045 ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy046)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203)))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab nb057AlphaDummy202
(Compiler.CompactSourceSyntax.synWrex nb057AlphaDummy203 (SemanticCore.Class.cv nb057AlphaDummy045)
(SemanticCore.Wff.classEq (SemanticCore.Class.cv nb057AlphaDummy202)
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv nb057AlphaDummy203))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv
theorem
NFChoice.DirectNominalPrf.NominalAlphaWrappersRepaired.nb057_support_mem_0245
(f : SemanticCore.Var)
:
nb057AlphaDummy048 f ∈ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy049 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f))))))).fv ∪ (Compiler.CompactSourceSyntax.synCcompl
(SemanticCore.Class.cab (nb057AlphaDummy204 f)
(Compiler.CompactSourceSyntax.synWrex (nb057AlphaDummy205 f) (SemanticCore.Class.cv (nb057AlphaDummy048 f))
(SemanticCore.Wff.classEq (SemanticCore.Class.cv (nb057AlphaDummy204 f))
(Compiler.CompactSourceSyntax.synCun
(Compiler.CompactSourceSyntax.synCphi (SemanticCore.Class.cv (nb057AlphaDummy205 f)))
(Compiler.CompactSourceSyntax.synCsn Compiler.CompactSourceSyntax.synC0c)))))).fv